| Laplace-Stieltjes变换所定义的解析函数的准确下级与下型 |
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| 引用本文： | 尤秀英. Laplace-Stieltjes变换所定义的解析函数的准确下级与下型[J]. 数学学报, 1998, 41(1): 213-218. DOI: cnki:ISSN:0583-1431.0.1998-01-027 |
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| 作者姓名： | 尤秀英 |
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| 作者单位： | 广东工业大学数理系 |
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| 摘 要： | 本文对于Ｌａｐｌａｃｅ－Ｓｔｉｅｌｔｊｅｓ变换在收敛半平面σ＞０内定义的解析函数定义了准确下级与下型；通过适当引入序列０λｎ↑＋∞，建立了该变换的下级（或准确下级）及下型与其系数及指数之间的关系，即该变换下型的充分必要条件，推广了Ｄｉｒｉｃｈｌｅｔ级数的有关结果
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| 关 键 词： | Laplace－Stieltjes变换，收敛半平面，下级，准确下级，下型 |
| 收稿时间： | 1996-10-09 |
| 修稿时间： | 1997-04-14 |
The Lower Type and the Proximate Lower Order of the Analytic Function Defined by Laplace-Stieltjes Transform |
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| Yiu Xiuying. The Lower Type and the Proximate Lower Order of the Analytic Function Defined by Laplace-Stieltjes Transform[J]. Acta Mathematica Sinica, 1998, 41(1): 213-218. DOI: cnki:ISSN:0583-1431.0.1998-01-027 |
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| Authors: | Yiu Xiuying |
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| Affiliation: | Yiu Xiuying (Department of Mathematics and Physics, Guangdong University of Technology, Guangzhou 510643, China) |
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| Abstract: | The defined lower type and proximate lower order for the analytic function defined by Laplace-Stieltjes transform in the half plane σ>0; we establish the relations between the proximate lower order and lower type of the transform and “coefficients” and “exponent”. It is the lower type′s sufficient and necessary conditions, extending the corresponding results of Dirichlet series. |
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| Keywords: | Laplace-Stieltjes transform Half plane of convergence Lower order Proximate Lower order Lower type |
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